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122030331000 = 23353197392897
BaseRepresentation
bin111000110100110010…
…0110001010001111000
3102122222111121010000220
41301221210301101320
53444404231043000
6132020541300040
711550011461524
oct1615144612170
9378874533026
10122030331000
1147830a38926
121b797864620
13b679a21266
145c98c58d84
15329335a1a0
hex1c69931478

122030331000 has 256 divisors, whose sum is σ = 401454144000. Its totient is φ = 30776371200.

The previous prime is 122030330951. The next prime is 122030331013. The reversal of 122030331000 is 133030221.

It is a super-2 number, since 2×1220303310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42121552 + ... + 42124448.

It is an arithmetic number, because the mean of its divisors is an integer number (1568180250).

Almost surely, 2122030331000 is an apocalyptic number.

122030331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122030331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200727072000).

122030331000 is an abundant number, since it is smaller than the sum of its proper divisors (279423813000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122030331000 is a wasteful number, since it uses less digits than its factorization.

122030331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 122030331000 its reverse (133030221), we get a palindrome (122163361221).

The spelling of 122030331000 in words is "one hundred twenty-two billion, thirty million, three hundred thirty-one thousand".